12735609216 has 64 divisors (see below), whose sum is σ = 36904334400. Its totient is φ = 3859274240.

The previous prime is 12735609203. The next prime is 12735609217. The reversal of 12735609216 is 61290653721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735609217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1503306 + ... + 1511753.

It is an arithmetic number, because the mean of its divisors is an integer number (576630225).

Almost surely, 2^12735609216 is an apocalyptic number.

12735609216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12735609216 is an abundant number, since it is smaller than the sum of its proper divisors (24168725184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12735609216 is a wasteful number, since it uses less digits than its factorization.

12735609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015087 (or 3015075 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 12735609216 in words is "twelve billion, seven hundred thirty-five million, six hundred nine thousand, two hundred sixteen".